Number systems worksheet with answers

Free printable Number systems worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
click the bits to set them012806403201608040201

Set the bits so the 8-bit register holds 0x59. What is the pattern's value N in decimal?

0x59
N =
2.Easy
place values5256A1611

Convert the hexadecimal number 0x5A1 to decimal. Find N.

0x5A1A = 10 … F = 15
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −2 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −28 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −99 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −998 bit
U =
5.Hard
32 bit1 px1920 px1080 pxM = ? KiB

An uncompressed image is 1920 × 1080 pixels with 32 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

1920 × 1080 px32 bit/px1 KiB = 1024 B
M = KiB
6.Hard
click the bits to set them012806403201608040201

Set the bits to the 8-bit result of 1111 0011 AND 1001 1000. What is the result's value R in decimal?

1111 0011AND1001 1000
R =

Answer key

  1. 1. N = 89
  2. 2. N = 1441
  3. 3. U = 254
  4. 4. U = 157
  5. 5. M = 8100 KiB
  6. 6. R = 144

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